Deformation in transversely isotropic thermoelastic thin circular plate due to multi-dual-phase-lag heat transfer and time-harmonic sources

Abstract The present research deals with the propagation of Rayleigh wave in transversely isotropic magneto-thermoelastic homogeneous medium in the presence of mass diffusion and three-phase-lag heat transfer. The wave characteristics such as phase velocity, attenuation coefficients, specific loss, and penetration depths are computed numerically and depicted graphically. The normal stress, tangential stress components, temperature change, and mass concentration are computed and drawn graphically. The effects of three-phase-lag heat transfer, GN type-III, and LS theory of heat transfer are depicted on the various quantities. Some particular cases are also deduced from the present investigation.

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Analytical analysis of the dual-phase-lag model of bio-heat transfer with pulse boundary heat flux on skin tissue

Waves in Random and Complex Media ◽

10.1080/17455030.2020.1842552 ◽

2020 ◽

pp. 1-14

Author(s):

Ying Ze Wang ◽

Mei Jun Li ◽

Dong Liu

Keyword(s):

Heat Transfer ◽

Heat Flux ◽

Skin Tissue ◽

Phase Lag ◽

Dual Phase ◽

Analytical Analysis ◽

Lag Model

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Plane wave propagation in an anisotropic dual-phase-lag thermoelastic diffusion medium

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-01-2014-0004 ◽

2014 ◽

Vol 10 (4) ◽

pp. 562-592 ◽

Cited By ~ 10

Author(s):

Rajneesh Kumar ◽

Vandana Gupta

Keyword(s):

Mass Flux ◽

Potential Gradient ◽

Transversely Isotropic ◽

Mass Diffusion ◽

Phase Lag ◽

Dual Phase ◽

Thermoelastic Diffusion ◽

Content Type ◽

Diffusion Phase ◽

Phase Lags

Purpose – The purpose of this paper is to depict the effect of thermal and diffusion phase-lags on plane waves propagating in thermoelastic diffusion medium with different material symmetry. A generalized form of mass diffusion equation is introduced instead of classical Fick's diffusion theory by using two diffusion phase-lags, one phase-lag of diffusing mass flux vector, represents the delayed time required for the diffusion of the mass flux and the other phase-lag of chemical potential, represents the delayed time required for the establishment of the potential gradient. The basic equations for the anisotropic thermoelastic diffusion medium in the context of dual-phase-lag heat transfer (DPLT) and dual-phase-lag diffusion (DPLD) models are presented. The governing equations for transversely isotropic and isotropic case are also reduced. The different characteristics of waves like phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically. Numerically computed results are depicted graphically for anisotropic, transversely isotropic and isotropic medium. The effect of diffusion and thermal phase-lags are shown on the different characteristic of waves. Some particular cases of result are also deduced from the present investigation. Design/methodology/approach – The governing equations of thermoelastic diffusion are presented using DPLT model and a new model of DPLD. Effect of phase-lags of thermal and diffusion is presented on different characteristic of waves. Findings – The effect of diffusion and thermal phase-lags on the different characteristic of waves is appreciable. Also the use of diffusion phase-lags in the equation of mass diffusion gives a more realistic model of thermoelastic diffusion media as it allows a delayed response between the relative mass flux vector and the potential gradient. Originality/value – Introduction of a new model of DPLD in the equation of mass diffusion.

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Thermoelastic Interactions in a Slim Strip Due to a Moving Heat Source Under Dual-Phase-Lag Heat Transfer

Journal of Heat Transfer ◽

10.1115/1.4044920 ◽

2019 ◽

Vol 141 (12) ◽

Cited By ~ 4

Author(s):

Nantu Sarkar ◽

Sudip Mondal

Keyword(s):

Heat Transfer ◽

Heat Source ◽

Laplace Transform ◽

Time Domain ◽

Generalized Thermoelasticity ◽

Inverse Laplace Transform ◽

Phase Lag ◽

Dual Phase ◽

Moving Heat Source ◽

Transient Phenomena

Abstract Following the link of work of He and Cao (2009, Math. Comput. Modell., 49(7–8), 1719–1720), we employ the theory of generalized thermoelasticity with dual-phase-lag (DPL) to study the transient phenomena in a thin slim strip due to a moving heat source. Both ends of the strip are assumed to be fixed and thermally insulated. Using Laplace transform as a tool, the problem has been transformed into the space-domain and solved analytically. Finally, solutions in the real-time domain are obtained by applying the inverse Laplace transform. Numerical calculation for stress, displacement, and temperature within the strip are carried out and presented graphically. The effect of moving heat source speed on temperature, stress, and displacement is studied. The temperature, displacement, and stress in the strip are found to be decreasing at large source speed.

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